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Quadrature-based diffusive representation of the fractional derivative with applications in aeroacoustics and eigenvalue methods for stability

Monteghetti, Florian Quadrature-based diffusive representation of the fractional derivative with applications in aeroacoustics and eigenvalue methods for stability. (2018) In: 10th Workshop SDS2018 STRUCTURAL DYNAMICAL SYSTEMS: Computational Aspects, 12 June 2018 - 15 June 2018 (Bari, Italy). (Unpublished)

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Abstract

This talk introduces a quadrature-based discretization method whose sole parameter is N and illustrates its properties on two applications. It is first applied to the stability study of a fractional delay differential equation, by computing the spectrum of the associated infinitesimal generator. It yields accurate and convergent spectra, by contrast with the optimization-based method. The second application is a bidimensional wave propagation problem, namely the linearized Euler equations with a fractional impedance boundary condition.

Item Type:Invited Conference
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
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Funders:
ONERA and DGA
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Deposited On:13 Nov 2018 12:22

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